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Lieb-Thirring inequalities with improved constants
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2008 (English)In: Journal of the European Mathematical Society (Print), ISSN 1435-9855, E-ISSN 1435-9863, Vol. 10, no 4, 1121-1126 p.Article in journal (Refereed) Published
Abstract [en]

Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one dimension. This allows us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multidimensional Schrodinger operators.

Place, publisher, year, edition, pages
2008. Vol. 10, no 4, 1121-1126 p.
Keyword [en]
Sobolev inequalities, Schrodinger operator, Lieb-Thirring inequalities, schrodinger-operators, simple proof, bounds
Identifiers
URN: urn:nbn:se:kth:diva-17889ISI: 000260056500010Scopus ID: 2-s2.0-56649095675OAI: oai:DiVA.org:kth-17889DiVA: diva2:335934
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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